Kinetic Mechanism for Modelling of Electrochemical Mediatedenzyme Reactions and Determination of Enzyme Kinetics Parameters
- 2 Downloads
The non-steady state current density for reversible electrochemical coupled with a homogeneous enzyme reaction and a constant potential is presented in this manuscript for the first time. The model is based on non-stationary diffusion equations with semi infinite boundary condition containing a nonlinear term related to the kinetics of an enzymatic reaction. The nonlinear differential equation for the mediator is solved for reversible homogeneous enzyme reaction. Approximate analytical expressions for the concentration of the mediator and corresponding current for non-steady state conditions are derived. Kinetic parameters are also determined such as Michaelis–Menten constants for substrate (KMS) and mediator (KMM) as well as catalytic rate constant (kcat). Upon comparison, we found that the analytical results of this work are in excellent agreement with the numerical (Matlab program) and existing limiting case results. The significance of the analytical results has been demonstrated by suggesting two new graphical procedures for estimating the kinetic parameters from the current densities.
Keywordsmathematical modelling non-linear reaction diffusion equations enzyme electrode mediated enzyme reactions
Unable to display preview. Download preview PDF.
- 19.Molina, A., Serna, C., Li, Q., Laborda, E., Batchelor-McAuley, C., and Compton, R.G., Analytical solutions for the study of multielectron transfer processes by staircase, cyclic, and differential voltammetries at disc microelectrodes, J. Phys. Chem. C, 2012, vol. 116, p. 11470.Google Scholar
- 23.He, J.H. and Mo, L.F., Comments on “Analytical solution of amperometric enzymatic reactions based on homotopy perturbation method,” Electrochim. Acta, 2013, vol. 102, p. 472.Google Scholar
- 28.Rasi, M., Rajendran, L., and Sangaranarayanan, M.V., Enzyme-catalyzed oxygen reduction reaction in biofuel cells: Analytical expressions for chronoamperometric current densities, J. Electrochem. Soc., 2015, vol. 162, p. H671.Google Scholar